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1604075130 = 233572832999
BaseRepresentation
bin101111110011100…
…0011111001111010
311010210100110102000
41133213003321322
511241120401010
6423100521430
754515261610
oct13747037172
94123313360
101604075130
11753505429
12389250276
131c74318a8
141130756b0
1595c567c0
hex5f9c3e7a

1604075130 has 128 divisors (see below), whose sum is σ = 4907520000. Its totient is φ = 365228352.

The previous prime is 1604075107. The next prime is 1604075141. The reversal of 1604075130 is 315704061.

1604075130 is a `hidden beast` number, since 1 + 604 + 0 + 7 + 51 + 3 + 0 = 666.

It is a super-4 number, since 4×16040751304 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1604075094 and 1604075103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533371 + ... + 536369.

It is an arithmetic number, because the mean of its divisors is an integer number (38340000).

Almost surely, 21604075130 is an apocalyptic number.

1604075130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1604075130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453760000).

1604075130 is an abundant number, since it is smaller than the sum of its proper divisors (3303444870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1604075130 is a wasteful number, since it uses less digits than its factorization.

1604075130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1604075130 is about 40050.9067313088. The cubic root of 1604075130 is about 1170.5992328181.

Adding to 1604075130 its reverse (315704061), we get a palindrome (1919779191).

The spelling of 1604075130 in words is "one billion, six hundred four million, seventy-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 283 315 378 566 630 849 945 1415 1698 1890 1981 2547 2830 2999 3962 4245 5094 5943 5998 7641 8490 8997 9905 11886 12735 14995 15282 17829 17994 19810 20993 25470 26991 29715 29990 35658 38205 41986 44985 53487 53982 59430 62979 76410 80973 89145 89970 104965 106974 125958 134955 161946 178290 188937 209930 267435 269910 314895 377874 404865 534870 566811 629790 809730 848717 944685 1133622 1697434 1889370 2546151 2834055 4243585 5092302 5668110 5941019 7638453 8487170 11882038 12730755 15276906 17823057 22915359 25461510 29705095 35646114 38192265 45830718 53469171 59410190 76384530 89115285 106938342 114576795 160407513 178230570 229153590 267345855 320815026 534691710 802037565 1604075130